QUOTE: I think we haven't done full justice to the mathematics of the occupancy numbers yet. Modern software mght be able to handle the large numbers involved in calculating the probabilities in your problems, but I think that this model should have been studied in pre-computer day and people...
3 would best fit.
The wells are indeed 3d cylinders that contain a single small pore at the bottom of the cylinder. Once a cell blocks this pore, fluid movement is redirected to other wells.
The design of the filter allows for a non random distribution of cells. However when when two cells in the suspension are contained in a sub partition of that suspension that is smaller than the volume of a filter well, then two cells can throretically still enter a single well.
Knowing the...
Hello again,
Based on the PDF you linked i made the following calculation for 5 cells in 10 wells:
1111100000 -> (10!/(5!*5!))*((5!/1!)) = 30240
2111000000 -> (10!/(6!*3!*1!))*((5!/2!)) = 50400
2210000000 -> (10!/(7!*2!))*((5!/2!*2!)) = 10800
3110000000 -> (10!/(7!*2!))*((5!/3!)) =...
Thank you Looser and Stephen,
Currently in unable to do much productive work. However i can state that we will most likely be comparing the percentage of singly separated cells after the filtration proceses.
greetings
Thank you Stephen,
I am working on a cancer research project involving the trapping of circulating tumor cells using micro-filters. For specific treatment and specific DNA sequencing it is very desirable to trap cells singly.
The amount of single separated cells is influenced by the filter...
Basically i got to solve two problems that can be described as:
if you throw 80 apples at 100 buckets randomly, and each apple must enter a bucket. How many buckets will on avarage contain 0 apple's? how many wil contain 1?, and 2?, and more?
problem two:
if a given number of random...